Nonlinear stability of counter-rotating vortices

DOI10.1063/1.868225zbMath0830.76035OpenAlexW2046568543MaRDI QIDQ4841854

Thierry Dauxois

Publication date: 24 July 1995

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868225

zbMATH Keywords

two-dimensional Navier-Stokes equationssufficient conditionsenergy-Casimir stability methodKelvin-Stuart vortices

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30)

Related Items (6)

On the existence of two-dimensional Euler flows satisfying energy-Casimir stability criteria ⋮ Another exact solution for two-dimensional, inviscid sinh Poisson vortex arrays ⋮ Vortex arrays for sinh-Poisson equation of two-dimensional fluids: Equilibria and stability ⋮ Double-periodic arrays of vortices ⋮ Linear stability of a doubly periodic array of vortices to three-dimensional perturbations ⋮ Stability of periodic arrays of vortices

Cites Work

• Nonlinear stability of fluid and plasma equilibria
• A row of counter-rotating vortices
• On finite amplitude oscillations in laminar mixing layers

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